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Graphene with geometrically induced vorticity

Pachos, J.K., Stone, M. and Temme, K. (2008) Graphene with geometrically induced vorticity. Physical Review Letters, 100 (15). p. 156806. ISSN 1079-7114

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Abstract

At half filling, the electronic structure of graphene can be modeled by a pair of free two-dimensional Dirac fermions. We explicitly demonstrate that in the presence of a geometrically induced gauge field an everywhere-real Kekulé modulation of the hopping matrix elements can correspond to a nonreal Higgs field with nontrivial vorticity. This provides a natural setting for fractionally charged vortices with localized zero modes. For fullerenelike molecules we employ the index theorem to demonstrate the existence of six low-lying states that do not depend strongly on the Kekulé-induced mass gap.

Item Type: Article
Copyright, Publisher and Additional Information: © 2008 Amer Physical Soc. This is an author produced version of a paper published in Physical Review Letters .Uploaded in accordance with the publisher's self-archiving policy.
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds)
Depositing User: Sherpa Assistant
Date Deposited: 16 May 2008 15:43
Last Modified: 14 Jun 2014 18:22
Published Version: http://dx.doi.org/10.1103/PhysRevLett.100.156806
Status: Published
Publisher: American Physical Society
Identification Number: 10.1103/PhysRevLett.100.156806
URI: http://eprints.whiterose.ac.uk/id/eprint/3797

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